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Finding the Third Proportional to 645,574 and 1,367,936

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Solution

The third proportional to 645,574 and 1,367,936 is: 2,898,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,574 : 1,367,936 = 1,367,936 : x
  2. Step 2: Convert to fraction form
    645,574/1,367,936 = 1,367,936/x
  3. Step 3: Cross multiply
    645,574x = 1,367,936 × 1,367,936
  4. Step 4: Simplify right side
    645,574x = 1,871,248,900,096
  5. Step 5: Solve for x
    x = 1,871,248,900,096/645,574
  6. Step 6: Final answer
    x = 2,898,581.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.